The present invention relates to a composition in the form of an oil-in-water emulsion, comprising, in a cosmetically acceptable medium: (i) a dispersed oily phase comprising at least one apolar hydrocarbon-based oil (ii) a continuous aqueous-alcoholic phase comprising at least one C1-C4 monoalcohol (iii) at least 1% by weight of fragrancing substance(s), relative to the total weight of the said composition (iv) magnesium silicate particles and (v) at least one polyalkylene glycol.